a solid sphere of radius 8cm is melted into a cone of radius 16cm find the height of the cone
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Answer:
=> r = 8cm
In Cone, r = 16 , h = ?
Volume of Cone = Volume of Sphere
1/3 × π × r² × h = 4/3 × π × r³
8 × 8 × h = 4 × 16 × 16 × 16
h = 4 × 2 × 2 × 16
h = 256 cm
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Step-by-step explanation:
VOLUME OF SPHERE=4/3*π*r³
=4/3* π *8*8*8
=2048π/3
VOLUME OF CONE=1/3πr²h
2048π/3=1/3 π *16*16*h
h=8cm
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